A topological characterization of weakness

  • Authors:
  • Cindy Eisner;Dana Fisman;John Havlicek

  • Affiliations:
  • IBM Haifa Research Lab, Haifa, Israel;IBM Haifa Research Lab, Haifa, Israel & Weizmann Institute of Science, Rehovot, Israel;Freescale Semiconductor, Inc., Austin, TX

  • Venue:
  • Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

We are interested in the relation between weak and strong temporal operators. We would like to find a characterization that shows what it means for an operator to be the weak or strong version of another operator, or more generally for a formula to be a weak or strong version of another formula. We show that the weak version of a formula is not the same as Alpern and Schneider's safety component. By working over an extended alphabet, we show that their topological characterization of safety can be adapted to obtain a topological characterization of weakness. We study the resulting topology and the relations between weak and strong formulas. Finally, we apply the method to show the internal consistency of a logic containing both weak and strong versions of regular expressions.